How tall should you be to be a leading male on the west end?

I am 17 and am 5"7. I really want to be on the west end, and hopefully be a lead role but I just want to know if I'll be too short and what sort of height should a lead male be? I know it'll depend on the character you play but lets just say the standard male like fiyero from wicked, or melchior from spring awakening.